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ycow [4]
3 years ago
11

10. How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two

decimal places.
Mathematics
2 answers:
Whitepunk [10]3 years ago
6 0

Answer:

14.14 cu in.

Step-by-step explanation:

ale4655 [162]3 years ago
3 0
What is asked in the problem is simply the volume of the solid rubber ball. The volume of sphere given the diameter may be calculated by,
  
                               V = πd^3 / 6

Substituting the given value of diameter, 
 
                               V = (π x 3³) / 6 = 9π/2 or 14.14

Thus, one needs approximately 14.14 in³ of material. 

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Answer:

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Step-by-step explanation:

1 way to do it is...

The volume of a sphere is 4/3*pi*r^3. Plugging in 2 and 3 in for the radii you get the volumes are about 33.51 and 113.1, which is an 8:27 ratio.

Another way to do it is...

The ratio of the radii is 2:3 and a radius is 1-dimensional. The volume, however is 3-dimensional. To get from 1-D to 3-D, you have to cube the numbers. 2^3 is 8 and 3^3 is 27, so the ration is 8:27.

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